In this paper, a new method for merging multiple inconsistent knowledge bases in the framework of possibilistic logic is presented. We divide the fusion process into two steps: one is called the splitting step and the other is called the combination step. Given several inconsistent possibilistic knowledge bases (i.e. the union of these possibilistic bases is inconsistent), we split each of them...

The notion of S-fuzzy left h-ideals in a hemiring is introduced and it’s basic properties are investigated.We also study the homomorphic image and preimage of S-fuzzy left h-ideal of hemirings.Using a collection of left h-ideals of a hemiring, S-fuzzy left h-ideal of hemirings are established.The notion of a finitevalued S-fuzzy left h-ideal is introduced,and its characterization is given.S-fuz...

The structure of cancellative t-norms is studied. It is shown that a cancellative tnorm is generated if and only if it has no anomalous pair, and then it is Archimedean. Moreover, if it is also continuous in point (1,1) it is isomorphic to the product tnorm. Several examples of non-generated cancellative t-norms are also given.

In this paper two methods are proposed to measure the l-T-inconditionality character of any fuzzy relation for any continuous t-norm T, and it is studied when both methods result to be equivalent.

Special implications were introduced by Hájek and Kohout [Fuzzy implications and generalized quantifiers, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 4 (1996) 225–233] in their investigations on some statistics on marginals. They have either suggested or only partially answered three important questions, especially related to special implications and residuals of t-norms. In this work we in...

The main concern of this paper is to introduce and characterize the class of operators on a finite chain L, having the same properties of pseudo-smooth uninorms but without commutativity. Moreover, in this case it will only be required the existence of a one-side neutral element. These operators are characterized as combinations of A N D and O R operators of directed algebras (smooth t-norms an...

In this paper, we observe and compare results concerning solvability of systems of fuzzy relation equations with different types of composition. In fact, two types of composition are considered sup−∗ and inf → composition where ∗ is a continuous tnorm and→ is residuation operation with respect to the t-norm ∗.

This paper deals with a kind of implications defined from t-norms, t-conorms and strong negations on a finite chain, through the expression I(x,y) = S(N(x),T (x,y)), and called QL-implications. We mainly study those QL-implications derived from smooth t-norms and t-conorms. It is characterized when functions defined in this way are implication functions, and their analytical expression is given...